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Construct the reciprocal lattice for two-dimensional lattice in which a = 1.25 Å, b = 2.5 Å, and γ = 120o
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- Calculate the mismatch stress in a thin epitaxial film of Ge on a Si (110) substrate. Both Si and Ge have cubic lattice structures with lattice constants 0.5431 nm and 0.5657 nm, respectively.Imagine you generate a three-dimensional lattice by taking vector a and b vectors that form a two-dimensional square lattice. Then add a third vector, c, that is of different length and perpendicular to the first two. Which of the seven three-dimensional lattices results?Calculate the ratio of electron to lattice heat capacities for Cu at T=0.3o, 4o,20o,77o and 300o K. The lattice heat capacity of Cu is given.
- A crystal has some negative ion vacancies, each containing one electron. Treat these electrons as moving freely inside a volume whose dimensions are of the order of lattice constant. Assuming the value of lattice constant, estimate the longest wavelength of electromagnetic radiation absorbed by these electrons.Evaluate the Packing fractions of the sc, fcc, bcc and hcp crystals.Calculate the surface density of the lattice atoms that lie on the (100) plane of a BCC crystal??? Please solve it quickly by handwritten
- Calculate the kinetic energy of free electron (π/a, 0, 3 π/a) in a 3D square lattice.Calculate the surface density of the lattice atoms located on the (110) plane of the SC crystal ?? Please solve it quickly by handwrittenThe fraction of lattice points occupied by vacancies in solid aluminum at 660°C is 10-3 . What is the energy required to create vacancies in aluminum?
- Given position-space lattice vectors a, b and c, show that the reciprocal lattice vectors (see figure) a* = 2pi b x c / a . (b x c), b* = 2pi c x a/ a . (b x c), c* = 2pi a x b/ a . (b x c) are such that a. a* = 2pi, a.b* = 0indicate the following lattice points (211) , (111) and (1 0 1) in an orthorhombic lattice structure with sides a= 5cm,, b =6cm and C =7cmYour answerThe atoms of an FCC lattice are hard spheres touching the surfaces of the nearest neighbors. If the effective radius of an atom is 4.25 Angstrom, what is the surface density in the (110) plane and what is the distance between nearest (110) planes?